Finite Volume - Finite Difference Scheme for the Solution of 2D Extended Boussinesq Equations

摘要

The paper presents a hybrid scheme for the solution of 2DH extended Boussinesq equations. The finite volume method is applied to the advective part of the equations, while dispersive and source terms are discretized by the finite difference technique. To validate the numerical model, a classical refraction-diffraction test is proposed. Special attention is devoted to verify the shock-capturing capabilities of the scheme: the model is applied to one- and two- dimensional runup test cases with good results, showing that no ad hoc treatment is required at the shoreline.